First mistake...its a 5$ fo. You are making a move because you think villain will know that you can credibly rep a hand and are capable of floating A-high on this flop.....villain, even if he has reasonable stats is basically just clicking buttons (evidence...he is playing a 5fo), he isn't thinking in terms of ranges/etc.
As played, I'd probably call flop bet and then try to get to showdown cheaply. A lot of BvB hands will go bet/call on flop then check down. If he shows any more aggression I'm folding.
I think with this line we maximize the money we get in ahead (getting that in on flop against all of his missed cbets) and get away the times he has us beat. If he has us beat then he will most likely let us know.